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1657 papers in math.PR · page 17
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Mittag-Leffler renewal process linked to fractional diffusion via time change
Some probabilistic properties and time-changed versions of a renewal process based on Mittag-Leffler waiting times
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Random codes achieve positive rate on deletion channel for any p<1
The Random Subsequence Model and Uniform Codes for the Deletion Channel
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Reinforced random walks transient in dimensions 3 and higher
Transition probabilities of step-reinforced random walks
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Point cloud data yields converging manifold diffusions
Diffusion Processes on Implicit Manifolds
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Point-cloud diffusions converge to manifold processes
Diffusion Processes on Implicit Manifolds
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Reinforced random walks reach uniform exponentially fast on groups
Mixing times of step-reinforced random walks
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No data-only rules can match the known-p optimum uniformly
Stopping on the last success with unknown odds: Impossibility barriers and quantitative oracle bounds
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Boundary white noise extends 1D heat states to complex rhombus
Bergman-space regularity for the heat equation with white-noise boundary forcing
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Variational principle derives Boltzmann equation from Kac walks
Variational derivation of the homogeneous Boltzmann equation
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Log means of sign-changing multiplicative functions stay above -c/(log x)^{1-2/π}
A Hal\'{a}sz-type asymptotic formula for logarithmic means and its consequences
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Tensor vectors give Marchenko-Pastur spectrum when k is o(n)
On spectrum of sample correlation matrices from large fold tensor vectors
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Control duality reduces all EnKF variants to hyperparameter choices
A Unified Control Theory Derivation of Discrete-Time Linear Ensemble Kalman Filters
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Multiplicative noise prevents blow-up in stochastic reaction-diffusion systems
Global in time solutions to stochastic reaction-diffusion systems with superlinear reactions satisfying a triangular control of mass
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AI model supplies short proofs for five Erdős questions
Short proofs in combinatorics, probability and number theory II
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q-Demazure permutations converge to a deterministic permuton
Random permutations from $q$-Demazure products
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Stochastic models yield free-boundary equations for trait extinction
From stochastic individual-based models to free-boundary Hamilton-Jacobi equations
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Linear random energies converge to Poisson process
REM universality for linear random energy
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Diffusion samplers reach optimal sqrt(d)/N error via Lipschitz bounds
Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities
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Mirror descent inside value iteration matches best RL sample rates
Value Mirror Descent for Reinforcement Learning
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Fringe tree counts in fixed-degree trees converge to Poisson or normal
Large fringe trees for random trees with given vertex degrees
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New conditions let branching processes grow like product of means
Branching Process in a Varying Environment: How to Grow Like the Product of Means
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Banach spaces control p-th variation of continuous paths
Banach spaces of continuous paths with finite $p$-th variation
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Random hypergraphs become simple as they grow large
Simplicity of random hypergraphs
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Minimal noise on two modes produces exponential mixing in damped NLS
Exponential mixing for nonlinear Schr\"odinger equations perturbed by bounded degenerate noise
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Unique solutions exist for vorticity equation with fractional Brownian noise
Well-posedness and Hurst parameter estimation for fluid equations driven by fractional transport noise
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Projection method yields high-dim entropic CLT bounds
Quantitative bounds for high dimensional entropic CLT
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Zero cell volume moments diverge as R^3 at hyperbolic criticality
The volume of hyperbolic Poisson zero cells: critical divergence and exact second moment
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Two-layer nets reach O(n^{-1/2}) generalization bounds without bounded loss
Generalization error bounds for two-layer neural networks with Lipschitz loss function
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AR(1) persistence probabilities are compound-geometric for positive drift
Persistence probabilities of autoregressive chains with continuous innovations
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Stochastic exponential integrator matches exact trace formulas on sphere
Long-time behavior of exact and numerical solutions of stochastic evolution equations on the sphere
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Perturbations enable Weyl law for Toeplitz matrices with jumps
Probabilistic Weyl Law for Twisted Toeplitz Matrices with Rough Symbols
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Langevin processes with Lévy jumps are ergodic even with discontinuous drifts
On some topological and spectral properties of kinetic Langevin processes driven by L{\'e}vy noises
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Moment bounds for twisted random sums match chaos predictions
Partial sums of random multiplicative functions with supercritical divisor twists
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Exact formula for three-point functions in critical loop models
Exact solution of three-point functions in critical loop models
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Ranking metrics represented via acceptance sets and risk measures
Ranking Metrics: Extending Acceptability and Performance Indexes
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Quantitative rates for spin-glass chaos under general disorder
Quantitative propagation of chaos and universality for asymmetric Langevin spin glass dynamics
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Zeros converge to scaled Voronoi measure for operator iterates
Voronoi limit measures for iterates of constant-coefficient differential operators on rational functions with simple poles
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Survival probability is C2 solution to IDE in insurance model
Existence of a classical solution to the integro-differential equation arising in the Cram\'er--Lundberg non-life insurance model with proportional investment
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Step-graphons show two rates for cycle-cover probability
Convergence rate of $H$-property for step-graphons
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Elephant walk on dihedral group matches simple random walk on Z
Elephant random walk on the infinite dihedral group $\mathbb{Z}_2 * \mathbb{Z}_2$
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Counterexamples refute Kac conjecture on Laplace laws
On a Problem of M. Kac on Laplace Distributions
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Sargassum blooms start near West Africa two years before western sightings
Tracing the origin of tropical North Atlantic Sargassum blooms to West Africa
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Negative binomial bound now holds for all x in [0,1]
Addendum to: Bounds for survival probabilities in supercritical Galton-Watson processes and applications to population genetics
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Lower bound derived for gaps between zeros of hypergeometric function
Bounding the Gap Between Zeros of the Variable- Parameter Confluent Hypergeometric Function
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Tempering chains achieve polynomial spectral gaps for multimodal targets
Rapid convergence of tempering chains to multimodal Gibbs measures
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Optimized sampling mixes deterministic and random rows for sharper compressed sensing
Partially deterministic sampling for compressed sensing with denoising guarantees
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Gumbel limit governs sleeping particles in random walk
Scaling limit and density conjecture for activated random walk on the complete graph
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Sleeping particles follow Gumbel limit on complete graph
Scaling limit and density conjecture for activated random walk on the complete graph
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Stationary planar forests have at most two ends per tree
Connected components and topological ends of stationary planar forests
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Error-function kernels limit Bergman kernels at droplet edges
A pluricomplex error-function kernel at the edge of polynomial Bergman kernels